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JulsSmile [24]
2 years ago
5

The test statistic of z= -2.39 is obtained when testing the claim that p<0.52.

Mathematics
1 answer:
krek1111 [17]2 years ago
6 0

Considering the situation described, we have that:

a) The critical value is of z = -1.645.

b) Since the test statistic is less than the critical value, we should reject the null hypothesis H0.

<h3>What is the critical value?</h3>

We have a left-tailed test, as we are testing if the proportion is less than a value. Hence the critical value is z with a p-value equals to the significance level, hence z with a p-value of 0.05, hence z = -1.645.

<h3>What is the decision?</h3>

Considering the test statistic, for a left-tailed test, we have that:

  • Less than the critical value: Reject H0.
  • Equal or greater: Do not reject.

In this problem, z = -2.39 is less than -1.645, hence we should reject the null hypothesis H0.

More can be learned about the test of an hypothesis at brainly.com/question/13873630

#SPJ1

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ycow [4]

Answer: The tenth term is 76

=======================================================

Explanation:

We use this arithmetic sequence formula to get the nth term

a_n = a_1 + d(n-1)

Plug in a_1 = 4, \ d = 8, \ n = 10 and you should get the following:

a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\

The tenth term is <u>76</u>

---------

We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}

---------

In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in a_n = a_1 + d(n-1) which shifts everything one spot to the left.

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I hope this helps you

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Answer:

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